Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2002-07-30
Phys.Rev. D67 (2003) 036003
Physics
High Energy Physics
High Energy Physics - Phenomenology
22 pages, LaTeX. 7 postscript figures
Scientific paper
10.1103/PhysRevD.67.036003
The existing definitions of mixing angles (one-loop radiatively corrected and renormalization-scale-independent) for scalar particles turn out to be gauge-dependent when used in gauge theories. We show that a scale- and gauge-independent mixing angle can be obtained if the scalar self-energy is improved by the pinch technique, and give two relevant examples in the Minimal Supersymmetric Standard Model: the mixing of CP-even Higgs scalars and of top squarks. We also show that the recently proposed definition of mixing angle that uses the (unpinched) scalar two-point function evaluated at a particular value of the external momentum [p_*^2=(M_1^2+M_2^2)/2, where M_{1,2} are the masses of the mixed particles] computed in Feynman gauge coincides with the gauge-invariant pinched result. In alternative definitions (e.g. in the on-shell scheme), the improved Higgs mixing angle is different from that in Feynman gauge. An arbitrariness of the pinch technique for scalar particles is also discussed.
Espinosa Jose Ramon
Yamada Yasuhiko
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